Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800gr |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1115136000000 = 216 · 32 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3233,-50337] |
[a1,a2,a3,a4,a6] |
j |
3650692/1089 |
j-invariant |
L |
2.5907855930277 |
L(r)(E,1)/r! |
Ω |
0.64769639822454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800c2 13200a2 2112w2 |
Quadratic twists by: -4 8 5 |